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Finding the Fourth Proportional to 2,054.13, 2,833.99 and 1,169.71

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Solution

The fourth proportional to 2,054.13, 2,833.99 and 1,169.71 is: 1,613.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.13 : 2,833.99 = 1,169.71 : x
  2. Step 2: Convert to fraction form
    2,054.13/2,833.99 = 1,169.71/x
  3. Step 3: Cross multiply
    2,054.13x = 2,833.99 × 1,169.71
  4. Step 4: Simplify right side
    2,054.13x = 3,314,946.44
  5. Step 5: Solve for x
    x = 3,314,946.44/2,054.13
  6. Step 6: Final answer
    x = 1,613.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.